In topological graph theory, a 1-planar graph is a graph that can be drawn in the Euclidean plane in such a way that each edge has at most one crossing point, where it crosses a single additional edge. If a 1-planar graph, one of the most natural generalizations of planar graphs, is drawn that way, the drawing is called a 1-plane graph or 1-planar embedding of the graph. (Wikipedia).
Planar graphs, What are planar graphs? In this video we take a look at what a planar graph is and how Mathematica can check to see if a graph is planar. In short, a planar graph is one that can be drawn in the plane such that no edges cross. If you want to learn more about Mathematica,
From playlist Introducing graph theory
Planar Graphs - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
From playlist M. Graph Theory
This video describes some of the basic properties of planar graphs.
From playlist Basics: Graph Theory
Graph Theory: 57. Planar Graphs
A planar graph is a graph that can be drawn in the plane without any edge crossings. Such a drawing (with no edge crossings) is called a plane graph. A given plane graph divides the plane into regions and each region has a boundary that outlines it. We look at some examples and also giv
From playlist Graph Theory part-10
Introduction to Planar Graphs and Euler's Formula
This video introduces planar graphs and Euler's formula. http://mathispower4u.com
From playlist Graph Theory (Discrete Math)
Graph Theory: 59. Maximal Planar Graphs
In this video we define a maximal planar graph and prove that if a maximal planar graph has n vertices and m edges then m = 3n-6. We use this to show that any planar graph with n vertices has at most 3n-6 edges. -- Bits of Graph Theory by Dr. Sarada Herke. Related videos: GT57 Planar G
From playlist Graph Theory part-10
What are Planar Graphs? | Graph Theory
What are planar graphs? How can we draw them in the plane? In today's graph theory lesson we'll be defining planar graphs, plane graphs, regions of plane graphs, boundaries of regions of plane graphs, and introducing Euler's formula for connected plane graphs. A planar graph is a graph t
From playlist Graph Theory
Is it Possible for a Graph to be Planar with the Same Number of Vertices and Edges?
This video explains how to determine if it is possible for a graph to be planar if the number of edges equals the umber of vertices. mathispower4u.com
From playlist Graph Theory (Discrete Math)
This is Lecture 22 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2022.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Featuring Professor Maria Chudnovsky from Princeton University - see part two about her work on Perfect Graphs - https://youtu.be/C4Zr4cOVm9g More links & stuff in full description below ↓↓↓ Correction at 13:58 - remove the word "not". Professor Chudnovsky's webpage: https://web.math.pri
From playlist Women in Mathematics - Numberphile
This is Lecture 23 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2023.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
早稲田大学の全学部の3〜4年生を対象とする全学オープン科目「離散数学入門」（担当教員：早水 桃子）の授業動画です．文理を問わず，誰でもグラフ理論やグラフアルゴリズムの初歩を学ぶことができます．グラフ理論の定理やグラフに関するアルゴリズムを正しく理解して，現実の諸問題を解決するための応用力を身につけましょう． --------------------------------------------------------------------------------------- グラフは頂点集合と辺集合のペアとして定義され，必ずしも目に見える形で描画されているとは限りませ
From playlist 離散数学入門Ⅳ
[Discrete Mathematics] Euler's Theorem
We introduce Euler's Theorem in graph theory and prove it. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathematics 2: https:/
From playlist Discrete Math 2
[Discrete Mathematics] Planar Graphs
We look at planar graphs and how to determine if a graph is planar or not. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathem
From playlist Discrete Math 2
AlgTop10: More on graphs and Euler's formula
We discuss applications of Euler's formula to various planar situations, in particular to planar graphs, including complete and complete bipartite graphs, the Five neighbours theorem, the Six colouring theorem, and to Pick's formula, which lets us compute the area of an integral polygonal
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Louis Esperet: Coloring graphs on surfaces
Recording during the thematic meeting: "Graphs and surfaces: algorithms, combinatorics and topology" the May 11, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematici
From playlist Mathematical Aspects of Computer Science
Due to the COVID-19 pandemic, Carnegie Mellon University is protecting the health and safety of its community by holding all large classes online. People from outside Carnegie Mellon University are welcome to tune in to see how the class is taught, but unfortunately Prof. Loh will not be o
From playlist CMU 21-228 Discrete Mathematics
Graph Theory: 61. Characterization of Planar Graphs
We have seen in a previous video that K5 and K3,3 are non-planar. In this video we define an elementary subdivision of a graph, as well as a subdivision of a graph. We then discuss the fact that if a graph G contains a subgraph which is a subdivision of a non-planar graph, then G is non-
From playlist Graph Theory part-10
Regions In A Planar Graph - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms